Decide Whether or Not the Functions Are Inverses of Each $$f ( x ) = \frac { 2 + x } { x } , \quad g ( x ) = \frac { 2 } { x - 1 }$$

question 198

Multiple Choice

Decide whether or not the functions are inverses of each other.Use the definition of inverses to determine whether f and g are inverses.
- $$f ( x ) = \frac { 2 + x } { x } , \quad g ( x ) = \frac { 2 } { x - 1 }$$

• A) No
• B) Yes

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Definitions:

Equilibrium Market Output

The level of output where the quantity supplied equals the quantity demanded in the market, allowing no excess supply or demand.

Total Cost Function

A mathematical representation of the all-encompassing cost associated with production, including both fixed and variable costs, at various levels of output.

Economic Cost Function

A mathematical expression that describes the cost of producing a given quantity of output, incorporating all relevant costs.

Short-Run Supply Curve

A graphical representation showing the quantity of a good that producers are willing and able to supply at different prices in the short term, holding some factors constant.